A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Δx(n)‎=−p(n)‎x(n−k)‎ with a Positive Coefficient

Joint Authors

Baštinec, Jaromír
Šmarda, Zdenĕk
Berezansky, Leonid
Diblík, Josef

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-28, 28 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-09-05

Country of Publication

Egypt

No. of Pages

28

Main Subjects

Mathematics

Abstract EN

A linear (k+1)th-order discrete delayed equation Δx(n)=−p(n)x(n−k) where p(n) a positive sequence is considered for n→∞.

This equation is known to have a positive solution if the sequence p(n) satisfies an inequality.

Our aim is to show that, in the case of the opposite inequality for p(n), all solutions of the equation considered are oscillating for n→∞.

American Psychological Association (APA)

Baštinec, Jaromír& Berezansky, Leonid& Diblík, Josef& Šmarda, Zdenĕk. 2011. A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Δx(n)=−p(n)x(n−k) with a Positive Coefficient. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-28.
https://search.emarefa.net/detail/BIM-482929

Modern Language Association (MLA)

Baštinec, Jaromír…[et al.]. A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Δx(n)=−p(n)x(n−k) with a Positive Coefficient. Abstract and Applied Analysis No. 2011 (2011), pp.1-28.
https://search.emarefa.net/detail/BIM-482929

American Medical Association (AMA)

Baštinec, Jaromír& Berezansky, Leonid& Diblík, Josef& Šmarda, Zdenĕk. A Final Result on the Oscillation of Solutions of the Linear Discrete Delayed Equation Δx(n)=−p(n)x(n−k) with a Positive Coefficient. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-28.
https://search.emarefa.net/detail/BIM-482929

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482929